solve:-(2x2-9x+4)1/2 + 3(2x-1)1/2 =(2x2+21x-11)1/2

Dear sayam

(2x²-9x+4)^1/2 + 3(2x-1)^1/2 =(2x²+21x-11)^1/2

^square

(2x²-9x+4) + 9(2x-1)  +6(2x²-9x+4)^1/2(2x-1)^1/2 =(2x²+21x-11)

simplify

 (2x²-9x+4)^1/2 =(2x-1)^1/2

^{square again}

(2x²-9x+4) =(2x-1) 

 (2x²-11x+5) =0

now solve

 x= (11 ± √41) /4

 All the best.
 
Regards,
Askiitians Experts
Badiuddin